Question

On a snow day, Aaron created two snowmen in his backyard. Snowman A was built to a height of 47 inches and Snowman B was built to a height of 59 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 6 inches per hour and Snowman B's height decreased by 8 inches per hour. Let AA represent the height of Snowman A t hours after sunrise and let BB represent the height of Snowman B t hours after sunrise. Write an equation for each situation, in terms of t, and determine the number of hours after sunrise when both snowmen have an equal height.